{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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SqhIhX+7fkWnXDqFRRjzqrDrl0oGdyM5KY8Pug7z+3q6ocyTpYzl6SJIkSZIkqcG69/V1fP+ZlYQhXD28K7+9YgAZab5k9o+aZKYxdkgXAKbnFUQbI0mfwD/BJUmSJEmS1OCEYcgv/vwOP3n5HQAmj+7F/1x8KvFYEHFZ3TU+txtBAHPW7GLD7oNR50jSR3L0kCRJkiRJUoOSTIb84PlV3P33dQDcfkFf7vjCiQSBg8cn6daqCef0bQvADE97SKqjHD0kSZIkSZLUYFQlknx79jJmzttIEMCPLz6VW8/qHXVWvfHBheZPLd7CgYrqaGMk6SM4ekiSJEmSJKlBKK9KcMsji3lu2VbSYgG/vWIA40Z0izqrXjnjhNb0atOEAxXVPL14S9Q5kvRPHD0kSZIkSZKU8g5UVDPxoQX87e2dZKbFuHf8YC4a0CnqrHonCILDpz1m5BeQTIaR9kjSP3L0kCRJkiRJUkrbe7CSq++bx7z1e2mamcaM64dxzontos6qty4d1JnszDTW7zrIG2t3R50jSf+Ho4ckSZIkSZJS1vaicq6Yls+KLUW0aJzOrJtGMKJnq6iz6rWmmWlcPqQz4IXmkuoeRw9JkiRJkiSlpI17DjJmWh7v7TxA+5wsnpycS7/OzaLOSgkTcrsTBPD3NTsp2H0w6hxJOszRQ5IkSZIkSSlnzfYSLp+az+a9ZXRr1ZgnJ+fSu2121Fkpo3vrJpzVpw1hCA/nb4w6R5IOc/SQJEmSJElSSlm6aR9jp+Wzq6SCE9tn8+TkXLq0bBx1VsqZOKoHAE8u2szBiuqIayTpEEcPSZIkSZIkpYy5a3dzzf3zKSqrYlDX5jwxKZe22VlRZ6WkM3q3pmfrJpRUVPPMki1R50gS4OghSZIkSZKkFPHnVdu57qGFlFYmOL13a2beMJxmjdOjzkpZsVjAhJHdAZieV0AYhtEGSRKOHpIkSZIkSUoBTy/ewq2PLqEykeSCU9rzwMQhNMlMizor5V02uDNNM9NYt+sgb67dHXWOJDl6SJIkSZIkqX6bPncD//LkchLJkMsHd+auqweSmRaPOqtBaJqZxuWDOwMwfW5BtDGShKOHJEmSJEmS6qkwDPndK+/xX39YDcB1o7rz88tOIy3uS161aXxuNwBeXbOTjXsORlwjqaHzbwBJkiRJkiTVO2EY8uOX3ubXf30XgG+edwI/uPBkYrEg4rKGp2ebppzVtw1hCA/nb4w6R1ID5+ghSZIkSZKkeqU6keT2p1bwwJsbAPjBhSfzzfP6EAQOHlH54ELz2Ys2c7CiOtoYSQ2ao4ckSZIkSZLqjYrqBF+btZQnF28hFsAvx/Tn+tN7RJ3V4I0+oQ09WjehpLyaZ5YWRp0jqQFz9JAkSZIkSVK9UFpZzY0zFvHHt7aTEY9xzzWDD1+irWjFYsHhuz1m5BUQhmHERZIaKkcPSZIkSZIk1XlFpVVc+8AC3nhvN40z4jw4cSgXnNo+6ix9yOWDO9MkI87anQeYu3ZP1DmSGihHD0mSJEmSJNVpu0oquOLefBZv3EdOVhqP3Dic009oHXWW/kF2VvrhkzfT8wqijZHUYDl6SJIkSZIkqc7asq+UMVPzeGd7CW2yM5k9OZdBXVtEnaWPMf79C81feWcHm/aURhsjqUFy9JAkSZIkSVKdtHbnAcZMzadgTymdmjfiyZtzObF9TtRZ+gS92jTlzD5tCEOYOa8g6hxJDZCjhyRJkiRJkuqctwqLGDstn21F5fRu25SnbxlJ99ZNos7SEbju/dMeTyzcTGlldbQxkhocRw9JkiRJkiTVKfPX7+Gqe+ex92Al/To1Y/bNubRvlhV1lo7Q6D5t6N6qMcXl1Ty7tDDqHEkNjKOHJEmSJEmS6oy/v7OT8Q8uoKSimuE9WvLYTcNp2SQj6iwdhVgsYHxudwBm5BUQhmG0QZIaFEcPSZIkSZIk1Ql/WL6Vmx5eREV1knNPbMuM64eRnZUedZaOweVDOtM4I867Ow6Qv25P1DmSGhBHD0mSJEmSJEXusfmb+PrjS6lOhlw0oCNTrx1MVno86iwdo5ysdC4f3BmAh/IKoo2R1KA4ekiSJEmSJClSU+as41+fXUkYwrgRXfnN2AGkx33Zqr774BFXr7y9g817S6ONkdRg+LeHJEmSJEmSIhGGIT/70zv87E/vAHDrWb340UWnEosFEZfpeOjdtilnnNCaZAgz522MOkdSA+HoIUmSJEmSpFqXTIb8+3NvMWXOOgDu+MKJ3H7BiQSBg0cqmTiyOwCPL9hEaWV1tDGSGgRHD0mSJEmSJNWqqkSSbz6xjEfnbyII4CeX9GPy6F5RZ6kGnN23Ld1aNaa4vJrnlm6NOkdSA+DoIUmSJEmSpFpTXpXg5pmLeWH5VtJiAb+7ciBXD+8adZZqSCwWcO2IbgDMyCsgDMOIiySlOkcPSZIkSZIk1YqS8iomPLiAV9/ZSWZajPvGD+HL/TtGnaUaNmZIFxpnxFmzo4T89XuizpGU4hw9JEmSJEmSVOP2Hqzk6vvmM3/DXrIz05h5w3DOPrFt1FmqBc0apXPpoE7AodMeklSTHD0kSZIkSZJUo7YVlTF2Wj4rC4to2SSDWZNGMKxHy6izVIsm5HYH4K+rd7BlX2m0MZJSmqOHJEmSJEmSakzB7oNcPiWftTsP0KFZFrNvzuXUTs2izlItO6FdNqf3bk0yhJnzNkadIymFOXpIkiRJkiSpRry9rZjLp+ZTuL+MHq2b8OTkXHq3bRp1liIycWR3AJ5YuJmyykS0MZJSlqOHJEmSJEmSjrvFG/dxxbR8dh+o4KQOOcy+OZfOLRpHnaUInX1iW7q0bMT+0iqeX1YYdY6kFOXoIUmSJEmSpOPqjfd2Me7++RSXVzO4WwsenzSCNtmZUWcpYvFYcPhuj+l5BYRhGG2QpJTk6CFJkiRJkqTj5k9vbeeG6Ysoq0pwxgmtmXnDMJo1So86S3XEmCFdaJQe553tJczfsDfqHEkpyNFDkiRJkiRJx8WTizZz66OLqUwk+cKp7bl/whAaZ6RFnaU6pFmjdC4d1AmAGXkF0cZISkmOHpIkSZIkSfrMHnxzA999agXJEMYO6czvrxpIZlo86izVQRPev9D8z6u2U7i/LNoYSSnH0UOSJEmSJEnHLAxDfvPXd/nhi6sBuPH0HvzsstNIi/uykz5an3bZjOrdimQIj8zbGHWOpBTj3z6SJEmSJEk6JslkyA9fXM3/vvIeAP/yuT7825dOIgiCiMtU131wofmsBZsor0pEGyMppTh6SJIkSZIk6ahVJ5Lc/vQKHppbAMB/fflkvnbuCQ4eOiLnntSOzi0asb+0iheWbY06R1IKcfSQJEmSJEnSUamoTnDbY0t4avEW4rGAX43pz8RRPaLOUj0SjwWMz+0GwEN5BYRhGHGRpFTh6CFJkiRJkqQjdrCimhumL+LPq3aQEY8x5ZpBXDa4c9RZqoeuGNKVRulx3t5WzMKCfVHnSEoRjh6SJEmSJEk6IkWlVYx7YD5vrt1N44w4D103lPNPaR91luqpZo3TuXhgJwCm522IuEZSqnD0kCRJkiRJ0qfaWVLOFffms3TTfpo1SufRG4czqnfrqLNUz00c2R2AP6/awdb9ZdHGSEoJjh6SJEmSJEn6RJv3ljJmaj7vbC+hbXYms2/OZWDXFlFnKQX0bZ9Nbs9WJJIhj8zbGHWOpBTg6CFJkiRJkqSPtXZnCWOm5rNxTyldWjbiycm59G2fHXWWUsjEUd0BmLVgE+VViWhjJNV7jh6SJEmSJEn6SCu27GfM1Hy2F5dzQtumPDV5JN1aNYk6SynmvJPa0al5I/aVVvHC8q1R50iq5xw9JEmSJEmS9E/mrd/D1ffNZ19pFf07N2P2zbm0y8mKOkspKB4LuDa3GwAz8goIwzDiIkn1maOHJEmSJEmS/o9X3t7BhAcXcKCimtyerXj0phG0aJIRdZZS2JVDu5CVHmPV1mIWbdwXdY6keuyoR48gCDoEQfBaEAQDPvS50UEQrAiCoDgIgtlBEHiTlSRJkiRJUj30/LJCbp65mIrqJOed1I6HrhtK08y0qLOU4po3zuDiAZ0AmJ5XEG2MpHrtqEaPIAimAVuBMz/0uWzgOeBXwClAFvCL49goSZIkSZKkWvDIvI1884llVCdDLh7QkSnjBpGVHo86Sw3EhJHdAfjTW9vZVlQWbYykeutoT3r8G9DjHz53ItAoDMMZYRhuBmYBuccjTpIkSZIkSbXjnjlr+ffn3iIMYXxuN349dgDpcZ+MrtpzUocchvdoSSIZ8ui8TVHnSKqnjupvrjAMd4dhWPAPn14PVL//iKs48Dlg2XHqkyRJktRAlFZW88i8jazeWhx1iiQ1KGEY8tM/vs3P/7QGgK+e3Zv//sopxGJBxGVqiK4b1R2AxxZsorwqEW2MpHrpMz+QMQzDPUEQTAT+DlQBhcDQT/o9QRBkApkf+lT2Z+2QJEmSVH9VJ5JMfmQJr7+7C4Cz+rZh8uheDO/RkiDwRTdJqimJZMi/P/cWsxYcelf9v37xRCad2SviKjVk553Ujo7NsthaVM6LK7Zx+eDOUSdJqmc+8xnFIAg6AncB1wNDgIXAbz7lt30fKPrQx5bP2iFJkiSpfgrDkP98YRWvv7uLjHiMWABz1uziynvncemUPP6yajvJZBh1piSlnMrqJN94fCmzFmwiCODOS/s5eChyafEY1+Z2B2B63gbC0P8PIOnoHI8HM44B1oRhOD0Mw5XAHcC4IAiaf8Lv+SnQ7EMfTraSJElSA/XAmxt4dP6hF9zuunogf//OWYwb0ZWMtBhLN+1n0szFnP/b13ly0WYqq5NR50pSSiirTDBp5iJeXLGN9HjAXVcN4sphXaPOkgC4cmgXMtNivFVYzJJN+6LOkVTPHI/RIwHEP/TvaUDAoUddfaQwDCvCMCz+4AMoOQ4dkiRJkuqZP6/azv+8/DYA//bFkzj/lPZ0a9WEH1/cj7nfO4dbz+pFdmYaa3ce4LtPrWD0L/7OA29u4GBFdcTlklR/FZdXMeHBBcxZs4us9Bj3jR/Cl07rEHWWdFiLJhlcPKATAA/NLYg2RlK9ExzLEbEgCEJgYBiGy4IgOAVYCowH8oA7gW5hGI46iq+XAxQVFRWRk5Nz1D2SJEmS6p+VW4oYOy2fsqoE1wzvyo8vPvUj7+8oKa/isfmbuP/NDewqqQCgWaN0JozszsSR3WnZJKO20yWp3tpzoIIJDy3grcJisjPTePC6oQzt3jLqLOmfrN5azBd/9wZpsYA3v3cO7ZtlRZ0kqZYVFxfTrFkzgGbvH544Ip/5pEcYhqs4dJ/Hj4DVQBvg2s/6dSVJkiSlrq37y7hhxkLKqhKc2acN//2VUz72wvLsrHRuHt2LN24/m59e2o8erZtQVFbF7155j5F3vsJ/vbCKLftKa/m/gSTVP1v3lzF2Wj5vFRbTqkkGsyaNcPBQnXVyxxyG9WhJdTLk0fkbo86RVI8c00mP4x7hSQ9JkiSpwThQUc3lU/J4Z3sJfdtl89QtuWRnpR/x708kQ/68ajtT5qxjZWERAPFYwEX9O3Lz6F70bZ9dU+mSVG9t2H2QcffPp3B/GR2bZTHzxuH0atM06izpE728chu3PrqEVk0yyPv+OWSmxT/9N0lKGcd60sPRQ5IkSVKtqU4kufHhRcxZs4vWTTN57raRdG7R+Ji+VhiG5K3bw5Q563hz7e7Dnz/3xLbcclYvhvjuZUkCDj0maPyD89l9oJKerZsw88bhdGreKOos6VNVJ5Kc8fO/s62onF+N6c9lgztHnSSpFkX2eCtJkiRJOhJhGPLDF1cfvjj3gQlDjnnwAAiCgFG9W/PIjcN54auj+GK/9gQBvPLOTi6fms/lU/J45e0dJJPRv9FLkqKyeONerrw3n90HKjm5Qw6zJ+c6eKjeSIvHGDeiGwDT8wqoC2/ellT3edJDkiRJUq148M0N/PDF1QQBTLlmEBec2uG4f4/1uw5w3xvreXpxIZWJJAB922Uz+ayeXHhaR9Ljvu9LUsPx+ru7uHnmYsqqEgzp1oIHJg6lWaMjf5ygVBfsPVjJiJ++QmV1kqdvGcngbi2iTpJUSzzpIUmSJKnO+tvqHfzopdWCGv6XAAAgAElEQVQA3HHBiTUyeAD0bNOUn156Gm9872xuPrMnTTPTWLOjhG89sZyzfjGH6XM3UFaZqJHvLUl1ycsrt3HDjIWUVSUY3acNM28Y7uCheqllkwwu6t8RgBl5BdHGSKoXPOkhSZIkqUa9VVjE2Gn5lFYmuGpYF35yST+CIKiV711UVsUj8zby0NwN7D5QCRx68WRCbncmjOxG88YZtdIhSbVp9sLN3PHMCpIhfKlfB35zxQAy0nzfq+qvtwqLuPD3b5IWC5h7xzm0y8mKOklSLfAic0mSJEl1zraiMi6+ey47iis444TWPDhxaCSPmCqvSvDU4i3c+/p6Nu0tBaBxRpyrhnXlhtN70NHn20tKEfe/sZ4fv/Q2AFcO7cL/XNKPeKx2hmapJo2ZmsfCgn18/dwT+Pbn+kSdI6kWOHpIkiRJqlMOVlQzZmo+q7cVc0Lbpjx960hysqJ9tEp1IsnLb21n6px1rN526OemtFjAxQM7MXl0T3q3zY60T5KOVRiG/Oav7/K7V9cCMOnMnnz/CyfW2sk6qaa9tGIbtz22hNZNM5h7xzlkpsWjTpJUwxw9JEmSJNUZiWTIpIcX8co7O2ndNINnbx1Fl5aNo846LAxDXn9vN1PmrGXe+r2HP3/+ye2YfFYvBnX1klRJ9UcyGfLDF1cz/f37Dr77+b7celYvBw+llKpEkjN+9ne2F5fzmyv6c8nAzlEnSaphXmQuSZIkqc740YureeWdnWSmxbhv/JA6NXgABEHA6D5teHxSLs/eOpLPn9IOgL+s3sGl9+RxxbR85qzZSV14k5gkfZLqRJLvPLX88ODxo4tO4bazezt4KOWkx2Ncm9sNgOlzC6KNkVSnedJDkiRJ0nE1I6+A/3xhFQD3XDOIL/brEHHRkVm7s4Rpr63nuWWFVCUO/Zx0UoccJo/uyZf6dSAtgrtIJOmTlFcl+Pqspfxl9Q7isYBfjjnNd78rpe05UEHuna9SWZ3k2VtHMtCTmVJK86SHJEmSpMi9+s4O/vsPhwaP2y/oW28GD4DebbP5xZj+vH772dx4eg8aZ8R5e1sx33h8GWf/ag4z522kvCoRdaYkAXCgoprrpy/kL6t3kJEWY+q4wQ4eSnmtmmbylf4dAQ6fbpKkf+RJD0mSJEnHxeqtxYyZmsfBygRXDOnCnZf1q9ePV9lfWsnD+RuZnlfA3oOVALRumsF1o3owbkQ3mjWK9lJ2SQ3X/tJKJj60kGWb99MkI859E4YwslfrqLOkWvFWYREX/v5N0uMBc793Dm1zsqJOklRDvMhckiRJUmR2FJdz8d1z2VZUzsherZhx/TDSU+RxUGWVCWYv2sy9r6+ncH8ZAE0z07h6eFduOL0H7XyxRVIt2llczrUPLGDNjhKaN05nxnXD6N+ledRZUq26fEoeizbu4xvnnsC3Ptcn6hxJNcTRQ5IkSVIkSiurGTstn7cKi+nVpgnP3DKKZo1T7xREVSLJSyu2MWXOOtbsKAEgIx7j0kGdmHRmT3q2aRpxoaRUt3lvKdfcP59Ne0tpm53JIzcOp0+77KizpFr3h+Vb+dqspbRumkneHeeQkZYab7SQ9H85ekiSJEmqdYlkyM0zF/O3t3fQqkkGz946iq6tGkedVaPCMOTva3YyZc46FhbsAyAI4IJT2jN5dC/fcS2pRry7o4Rx989nZ0kFXVs25pEbhqf8n7fSx6lKJDn9Z6+yo7iC314xgIsHdoo6SVIN8CJzSZIkSbXuJy+/zd/ePnSJ7r3jhzSIF+CCIOCcE9vx5OSRPDU5l/NOaksYwh/f2s5Fd8/lmvvn8eZ7u6kLbzCTlBqWb97P2Gn57CypoG+7bJ6anNsg/ryVPk56PMa44d0ALzSX9M886SFJkiTpmMyct5H/eO4tAH5/1UC+3L9jxEXRWbO9hGmvreP55VtJJA/9jHVqpxxuGd2bC05tTzxWfy90lxSt/HV7uHHGQg5WJujfpTkzrhtK88YZUWdJkdt9oIKRP32VykSS524bxQBPWkopx5MekiRJkmrNnDU7+a8XVgHwnfP7NOjBA6Bv+2x+fcUAXvvuWUwc2Z2s9BhvFRZz22NLOPdXc3hs/ibKqxJRZ0qqZ/62egcTHlrAwcoEI3u14tEbhzt4SO9r3TSTC/t3AGCGpz0kfYgnPSRJkiQdlXe2F3P5lHwOVFRz2aDO/HLMaQSBJxk+bO/BSmbkFTAjv4D9pVUAtMnO5IbTe3D18K7kZKXeRe+Sjq9nl27hO0+uIJEM+dzJ7fj9VQPJSo9HnSXVKSu3FPHlu94kPR4w945zaJudFXWSpOPIi8wlSZIk1bidJeVccncehfvLGNGzJQ9fP5yMNA+Qf5yDFdU8vnAz97+xnm1F5QBkZ6YxLrcb143q7oszkj7SzPwC/uP5Q6fpLh3UiZ9fdhppcf+slT7KpffMZcmm/XzrvD5847wTos6RdBw5ekiSJEmqUWWVCa68N5/lW4ro2boJz9w60sesHKHK6iQvLN/K1NfWsXbnAQAy0mKMGdyZSWf2pFurJhEXSqoLwjDknjnr+MWf1wAwcWR3fnDhycS8F0j6WC8s38rXZy2lTXYmc793jm/GkFKIo4ckSZKkGpNMhtz66BL+tGo7LRqn89xto3yh/hgkkyF/e3sHU15bx9JN+wGIBfDFfh2YPLoXp3ZqFnGhpKiEYchP//gO976+HoCvn9Obb32uj48PlD5FVSLJqDtfZWdJBf975QAuGtAp6iRJx4kXmUuSJEmqMT/70zv8adV2MuIx7h0/xMHjGMViAeef0p5nbhnJE5NGcFbfNiRDeHHFNi78/Ztc+8B88tbtpi68OU1S7UkkQ77/zMrDg8e/f+kkvn1+XwcP6Qikx2OMG9ENgOleaC4JT3pIkiRJ+hSzFmzi+8+sBPAdlDVg9dZipr2+jj8s30ry/R/P+ndpzi2je3L+ye19rI2U4iqrk3xr9jJeWrGNWAB3XnoaY4d2iTpLqld2lVQw6s5XqUwkef62UfTv0jzqJEnHgSc9JEmSJB13b7y3i39/7i0AvnVeHwePGnByxxz+98qBvPbdsxmf243MtBjLN+9n8iNLOO83rzF74WYqq5NRZ0qqAWWVCW56eBEvrdhGejzg7qsHOXhIx6BNdiYXntYBgBme9pAaPE96SJIkSfpI7+4o4bJ78iipqObSgZ341dj+PmqlFuw+UMH0uQU8nF9AcXk1AO1zsrjh9B5cNbwrTTPTog2UdFwUlVVxw/SFLNq4j0bpcaZeO5jRfdpEnSXVW8s37+eiu+eSEY8x945zaJOdGXWSpM/Ii8wlSZIkHTe7Siq4+O65FO4vY1iPlsy8YRiZafGosxqUkvIqZi3YxANvbmBHcQUAOVlpTBjZnYkju9OqqS/mSPXV7gMVjH9gAau3FZOdlcb064YyuFvLqLOkeu+Se+aydNN+vv25Pnz93BOizpH0GTl6SJIkSTouyqsSXHnvPJZt3k+P1k145paRtGiSEXVWg1VRneC5pYVMe20963cfBCArPcbYIV246YyedGnZOOJCSUejcH8Z194/n/W7D9K6aQYPXz+ckzv6Woh0PDy/rJBvPL6MttmZzL3jHNLjPtlfqs8cPSRJkiR9ZslkyFdnLeHlldtp3jidZ28dRY/WTaLOEpBIhvx19XamzFnH8i1FAMRjAV8+rQM3j+7FSR38WUqq69bvOsC4++eztaicTs0bMfOGYfRs0zTqLCllVFYnGfWzV9lVUsHvrhrIV/p3jDpJ0mfgReaSJEmSPrNf/GUNL6/cTno8YNq4wQ4edUg8FnDBqR147rZRPHbjcM44oTWJZMhzy7byhf99g+seWsCCDXupC29sk/TP3iosYszUfLYWldOzTROenJzr4CEdZxlpMa4Z3hXwQnOpIfOkhyRJkiQAZi/czO1PrwDgN1f055KBnSMu0qd5q7CIKa+t448rt5F8/0e7QV2bc8tZvTn3xLbEYl48L9UFiwr2ct30hZSUV3NqpxxmXDfMe3mkGrKzpJxRd75KVSLkD189nX6dm0WdJOkYedJDkiRJ0jGbu3Y3//rsSgC+fu4JDh71xKmdmnH31YN49V/O4urhXcmIx1iyaT83PbyIz//2dZ5avIWqRDLqTKlBm7NmJ+MemE9JeTXDurfksZtGOHhINahtdhZf6tcBgOme9pAaJE96SJIkSQ3c2p0lXHJPHiXl1Vw0oCO/vWIAQeAJgfpoZ3E5D84t4NF5GympqAagY7MsbjyjJ1cO60LjjLSIC6WG5aUV2/jmE0upSoSc1bcNU64ZTKOMeNRZUspbtnk/F989l4x4jLzvn0Nrh0apXvIic0mSJElHbfeBCi65Zy6b95YxpFsLHrlxOFnpviBX3xWXV/HovE088OYGdh+oAKB543Qm5HZnwsjutGySEXGhlPoeX7CJf312JckQLjytA78eO4CMNB+4IdWWi+6ey/LN+/nO+X346jknRJ0j6Rg4ekiSJEk6KuVVCa6+bx5LNu2nW6vGPHvrKF8MTzHlVQmeWVLItNfXsXFPKQCN0uNcOawLN57Rk07NG0VcKKWm+15fz/+8/DYAVw3ryo8vPpW4d+xIteq5pYV884lltMvJ5M3vnUN63NFRqm8cPSRJkiQdsWQy5OuPL+XFFdto1iidZ24dSa82TaPOUg1JJEP++NY2psxZx6qth35eTIsFfGVARyaP7kWfdtkRF0qpIQxDfvWXd7nr72sBuHl0T+644EQfGShFoLI6ycg7X2X3gQruunogF57WMeokSUfJi8wlSZIkHbFf//VdXlyxjfR4wNRxgx08Ulw8FnDhaR158WunM/OGYYzs1YrqZMgzSwo5/zevc+OMRSzeuDfqTKleSyZD/vOFVYcHj9sv6Mv3v3CSg4cUkYy0GNcM7wrA9LkF0cZIqlWe9JAkSZIamCcXbea7T60A4Jdj+nP54M4RFykKyzbvZ+qcdfx59XY++LFwWPeW3HJWL87q28YXaqWjUJVIcvtTK3h2aSFBAD+86FSuHdEt6iypwdtZXM7IO1+lOhny4tdO59ROzaJOknQUPOkhSZIk6VPlr9vDvz67EoCvnt3bwaMBG9ClOVOvHczfvj2aK4Z0IT0esKBgL9dNX8gX/vcNnltaSHUiGXWmVOeVVyW45ZElPLu0kLRYwG+vGODgIdURbXOy+NJpHQCYnlcQbYykWuNJD0mSJKmBWLfrAJfek0dRWRUXntaB3105kJgX6+p924vKeXDuBh6dt5GDlQkAOrdoxKQzezJmcBcaZcQjLpTqngMV1dw0YxH56/eQmRbjnmsGce5J7aLOkvQhSzbt49J78shIi5F/xzm0apoZdZKkI+RF5pIkSZI+1t6DlVxyz1w27illYNfmzLppBFnpvoitf1ZUWsXMeQU8NLeAPQcrAWjZJIPrRnZnfG53mjVOj7hQqhv2Haxk4kMLWL6liKaZadw/YQgjeraKOkvSPwjDkIvvnsvyLUV89/N9ue3s3lEnSTpCjh6SJEmSPlJ5VYJx989n0cZ9dGnZiGdvHUVr3+WoT1FeleDJRZuZ9vp6tuwrA6BJRpyrhnXlhjN60KFZo4gLpejsKC5n3P3zeW/nAVo0TmfG9cM4rXPzqLMkfYxnlmzh27OX06FZFq/ffjbpcZ/4L9UHjh6SJEmS/kkYhnzziWU8v2wr2VlpPHvrSHq3zY46S/VIdSLJSyu3MWXOOt7ZXgJAejzgkoGdmHRmL3q3bRpxoVS7Nu0p5ZoH5rF5bxntcjJ55IbhnNDOP1eluqyiOsGoO19l94FK7r560OF7PiTVbV5kLkmSJOmf/OZv7/H8sq2kxQKmjhvs4KGjlhaPcdGATvzxG2fw0HVDGdajJVWJkNmLtvC537zGzTMXsWzz/qgzpVqxZnsJl0/NY/PeMrq1asxTk0c6eEj1QGZanKuHdQVghheaSynPkx6SJElSivrgUQ4AP7usH1cM7RpxkVLF4o37mPraOv66esfhz+X2bMXks3px5gmtCYIgwjqpZizdtI+JDy2kqKyKE9tn8/D1w2ibkxV1lqQjtKO4nFF3vkp1MuSlr5/OKR2bRZ0k6VN40kOSJEnSYfPX7+F7T68AYPLoXg4eOq4Gd2vBfeOH8NdvncllgzqTFgvIX7+HCQ8u4Eu/e5M/LN9KdSIZdaZ03OSt3c0198+nqKyKgV2b8/ikEQ4eUj3TLieLL/Q79FgrT3tIqc2THpIkSVKK2bD7IJfcM5f9pVV8sV977rpqELGY77xXzSncX8YDb2xg1oJNlFUlAOjasjGTzuzJ5YM7k5Uej7hQOnZ/WbWdr85aSmV1klG9W3HvtUNokpkWdZakY7B4414um5JPRlqMed8/l5ZNMqJOkvQJvMhckiRJEvsOVnLJPXMp2FNK/y7NeWLSCF9wVq3Zd7CSh/M3Mj1vA/tKqwBo3TST60/vzrgR3cjJSo+4UDo6zyzZwnefWkEiGfL5U9rxu6sGkpnmn6lSfRWGIV+5ay4rC4u4/YK+3HpW76iTJH0CRw9JkiSpgauoTnDt/QtYULCXTs0b8dxto2iTnRl1lhqg0spqnli4mfteX8/WonIAmmamcc2IrtwwqoePBVK9MCOvgP98YRUAlw3qzM8u60da3KeES/XdU4u38J0nl9OxWRav3362/7uW6jBHD0mSJKkBC8OQb89ezrNLC8nOTOPpW0fSp1121Flq4KoSSf6wfCtTX1vHuzsOAJARj3HZ4M5MOrMnPVo3ibhQ+mdhGHLXq2v51V/fBeC6Ud35jy+d7GMCpRRRXpVg1J2vsudgJVOuGXT4ng9JdY8XmUuSJEkN2O9eWcuzSwuJxwLuGTfIwUN1Qno8xqWDOvOnb5zJ/eOHMLhbCyoTSWYt2MQ5v5rDbY8uYeWWoqgzpcPCMOR/Xnr78ODxzfNO4AcXOnhIqSQrPc5Vw7oC8JAXmkspyZMekiRJUj33/LJCvvH4MgB+ckk/rh7eNeIi6eMtLNjLlDnrePWdnYc/d3rv1txyVi9G9mpFEPjisqKRSIZ8/5kVzF60BYAfXHgy15/eI+IqSTVhe1E5o372KolkyMtfP4OTO/p6pFQXedJDkiRJaoAWFuzlu0+uAGDSmT0dPFTnDe3ekgcnDuVP3zyDSwZ2Ih4LeHPtbq65fz4X3T2XP67cRiIZ/Zvz1LBUVCf42qwlzF60hVgAv7j8NAcPKYW1b5bFBae2Bw7d3yMptXjSQ5IkSaqnCnYf5JJ75rKvtIrPn9KOKdcM9hEsqnc27y3l/jfW88SizZRXJQHo0boJN5/Zk0sGdSIzLR5xoVJdaWU1N89czBvv7SYjHuN3Vw3gglN9xr+U6hYV7OXyqflkpsWY9/1zadEkI+okSf/Ai8wlSZKkBmR/aSWX3pPH+t0HOa1zM56YlEujDF8cVv2150AFM/IKmJG/kaKyKgDaZmdyw+k9uHp4V7Kz0iMuVCoqKqvi+ukLWbxxH43S49w3fginn9A66ixJtSAMQy78/Zus2lrM9y44kVvO6hV1kqR/4OghSZIkNRCV1UnGPzifeev30rFZFs/dNoq2OVlRZ0nHxYGKah5fsIn739jA9uJyALKz0hif242JI3vQJjsz4kKlil0lFYx/cAFvbysmJyuNh64bxuBuLaLOkv4fe/cZpVV56O//2tOZSu8MQ1N67yhFTaLR2LsIKBaMqZrYTk5Ock4SS0yMRkVUpAgW7NEkJhYEYegIAopKGYbemRlmmPrs/wuN/5zf0QQR2FOuz1q8cGCGy+WSNQ/f5963jqPnlm7mp8+/T6v69Zjz05EkxHsTgFSdOHpIkiRJdUAYhvzkufd5YfkW0pMTeP6GIXRu7vfQqn3KK2O8vGIrj8xZz4bdxQAkJcRxcf/WXHdyB7IbpUZcqJpsy/4Srpy8mI17immcnsyT4wfSpYV/lkp1TWlFFUPvept9xeU8Mrqvj7aTqhkvMpckSZLqgIdmr+OF5VuIjwt48PI+Dh6qtT4dONrw5o9H8MjofvRqU5/yyhgzFuYz8t7ZfP/p91izrSDqTNVA63Yd5KJHFrBxTzGt6tfj+QlDHDykOiolMZ7LBrYBYKoXmku1hic9JEmSpBri1ZXb+P7T7wHwP+d258rBbSMuko6fMAxZuGEfE+esZ+7Huz//+IgTmnDDyA4MateQIAgiLFRNsHprAWOeWMy+4nI6NEljxjWDaJFVL+osSRHaXnCIk+6eTVUs5K8/PNkRVKpGPOkhSZIk1WLLNu3j5udWAjD+pHYOHqpzgiBgSIdGTL96IK99/yS+06slcQHM+Xg3lz66kPMezuVva3YQi0X/xj5VT4s37uOyRxeyr7icHq2ymHX9EAcPSbTIqsfp3ZoDMH1BXqQtko4OT3pIkiRJ1Vz+3hLOfXg++4rLOa1LMyZd2Y/4ON/RLm3aW8xj725g1tItlFfGAOjQJI3rR3Tg3N6tSErwfX761OyPdjHhyWWUVcYY2K4hk8f2JyMlMeosSdXE4o37uHjSAlIS41h4+6nUT02KOkkSXmQuSZIk1UoFJRWcP3E+63cX071VJrOuH0JqUkLUWVK1sruojCnzN/Lkwk0UlVYC0CIrhfEnteOygdmkJfv/TF326spt/PjZFVTGQk7p3JSHr+hLSmJ81FmSqpEwDDnzgXl8sL2Q28/ozPUjOkSdJAlHD0mSJKnWKa+MMW7KYnLX76VFVgov3ziMZpkpUWdJ1VZRaQVPLcrn8Xkb2V1UBkBWvUTGDmnL2KE5NEpPjrhQx9vTi/O546VVhCGc3aslv7u4F4nxngCS9H/NWrKZW154n1b16zH3llGeqpWqAUcPSZIkqRYJw5BbX3ifWUu3kJYUz3MThtK1pd8rS4ejtKKKl97byqNzN7BxTzEAKYlxXDogm2tObkfrBqkRF+p4mDRnPXf+dS0AVwzK5r/P6e5fYkr6UqUVVQy58y32l1Qw6cp+fOuzez4kRceLzCVJkqRaZOKc9cxauoW4AB68vK+Dh/QVpCTGc9nAbN68aQQPX9GXHq2yKK2IMTU3jxG/fYcfP7uCtTsO+3WzapgwDLnn9bWfDx7fHdmBX53r4CHpX0tJjOfSgdkATMvNizZG0tfiSQ9JkiSpmvnz+9u58anlAPzy7G6MHZoTbZBUw4VhSO76vUx8Zz3z1u35/OOndm7KhJEdGJDTMMI6HU2xWMjP/7SaGQvzAbj19M7cMNJn80s6PFsPHGL4PbOpioX87UfDObF5RtRJUp3mSQ9JkiSpFliev5+bZq0AYNzQHAcP6SgIgoBhHRsz45pB/Ol7w/h2j+YEAby1dhcXPbKACyfm8taHO4nFon9ToI5cRVWMH89awYyF+QQB/Pq87g4ekr6SVvXr8c2uzQCYtiAv0hZJR86THpIkSVI1sXlfCec9PJ89B8s5tXNTHh3T38exSMfIht0HeezdDbywbCvlVTEATmiWzoQRHfhOr5Zedl3DlFZUcePM5by1dhcJcQG/v6Q3Z/dqGXWWpBpo0Ya9XPLoQuolxrPw9lPJSk2MOkmqs7zIXJIkSarBCg5VcOHEXD7ZdZCuLTJ5bsIQ0pITos6Sar2dhaU8MW8jMxflc7CsEvj0nb7XnNyOSwa0ITXJ/w+ru6LSCq6ZtpRFG/eRnBDHI6P7Mapz06izJNVQYRhyxv3vsnZHEf/x7S5cO7x91ElSneXoIUmSJNVQFVUxrpqyhHnr9tAsM5mXbxxGi6x6UWdJdUrBoQpmLNzElPkb2XOwHIAGqYmMG9qOMUPa0iAtKeJCfZF9xeWMm7KY97cUkJ6cwOSx/RnUvlHUWZJquGeX5HPrC6to3aAec346ypO3UkQcPSRJkqQaKAxD7nhpFU8v3kxqUjyzrh9C91ZZUWdJdVZpRRXPL9vCo3M3kL+vBIDUpHguHZDNNSe3o2V9B8nqYkdBKaMnL2LdroM0TEti2lUD6dHaPz8lfX2lFVUMvvMtDpRU8NiY/nzjs3s+JB1fXmQuSZIk1UCPzt3A04s3ExfAA5f2cfCQIpaSGM/owW15++YRPHBZH7q2yKSkvIon5m9k+D2z+clzK1m3qyjqzDovb08xFz6Sy7pdB2mRlcKs64c4eEg6alISPx27Aabmboy4RtJX5UkPSZIkKSKvr97ODTOXE4bw87O6cvVJ7aJOkvT/CMOQuZ/sYeI761i4Yd/nH/9G12bcMLIDfbMbRFhXN63dUciVkxezu6iMnEapzLhmEK0bpEadJamW2bK/hOH3zCYWwhs/Hk6nZhlRJ0l1jic9JEmSpBpk5eYD/OjZFYQhjBnSlquG5USdJOkLBEHAiBOa8Mx1Q3jpu0P5VrdPH3Hyxgc7Of/hXC6ZtIDZH+2iOryhsC5Ynr+fSyYtZHdRGZ2bZzBrwhAHD0nHROsGqXyza3MApubmRRsj6SvxpIckSZJ0nG3ZX8K5D+Wy52AZI09swuNj+pMQ7/uRpJpi3a4iJs3ZwMsrtlJR9elr6i4tMpkwoj1n9mjh/8/HyLxP9nDdk0spKa+ib3Z9powbSFZqYtRZkmqxBev3ctljC6mXGM/CO04lq55/5kjHkxeZS5IkSTVAYWkFF01cwEc7i+jcPIPnbxhKenJC1FmSjsD2gkNMfncjTy3Op6S8CoA2Detx3cntuah/G1IS4yMurD1eX72DHzz9HuVVMU7u1JhJV/YjNck/OyUdW2EYcsb977J2RxE/O7ML15zcPuokqU5x9JAkSZKqucqqGFdPW8rcj3fTNCOZl28cRsv69aLOkvQ1HSgpZ/qCTUzNzWNfcTkAjdKSuPqkdowe3NZ3Bn9Nzy/bwi3PryQWwhndm/OHS3uTnOCgJOn4eHpxPre/uIrshqnM/slI4uOCqJOkOsPRQ5IkSarGwjDkZy+vZuaifOolxjPr+iH0aJ0VdZako+hQeRWzlm7m0bkb2HrgEABpSfFcMbgt409qR7PMlIgLa54p880NfugAACAASURBVDfyy1c/AOCifq258/wePj5M0nF1qLyKwXe+RcGhCh4f05/TujaLOkmqM7zIXJIkSarGJs/byMxF+QQB3H9pbwcPqRaqlxTP2KE5vPPTkfzhkt6c2CyD4vIqHp27gZPvns2tz7/P+t0Ho86sEcIw5P43P/l88Bh/UjvuvqCng4ek465eUjyXDmgDwLQFeZG2SDo8nvSQJEmSjrG/rdnBhBnLCEN8HrRUh4RhyOyPdjHxnfUsydsPQBDA6d2aM2FEB3q1qR9xYfUUi4X86s8f8sT8jQDc9I0T+P4pHQkCHykjKRqb95Uw4reziYXw5k3D6dg0I+okqU7wpIckSZJUDa3aUsCPnllBGMIVg7IZf1K7qJMkHSdBEHBK52Y8N2Eoz08YwmldmhKG8NfVOzjnoflc/thC3v1kN9XhzYjVRWVVjFteeP/zweMX3+nKD07t5OAhKVJtGqZyWpdPH2s1LXdTxDWS/h1PekiSJEnHyLYDhzj3ofnsKipj+AlNeGJsfx/NItVxH+0oYtLc9fxpxTYqY5++Hu/eKpMJIzpwRvcWdfqC3LLKKn749ApeX7OD+LiAey7oyQX9WkedJUkA5K7fw+WPLSI1KZ6Fd5xKZkpi1ElSredF5pIkSVI1crCskgsn5rJ2RxEnNsvg+RuGkOGLY0mf2bK/hMff3cizSzZzqKIKgJxGqVw3vAPn921FSmJ8xIXHV0l5Jdc/uYx3P9lDUnwcf7y8D9/q1jzqLEn6XBiGnP6Hd/loZxH/eVZXT+9Kx4GjhyRJklRNVFbFuGb6Ut75aDeN05N5+cahtG6QGnWWpGpoX3E503LzmLYgjwMlFQA0yUjm6mHtuGJwdp14J3FBSQVXTV3M8vwDpCbF89iY/gzr2DjqLEn6P55alM8dL62ibaNUZt88krg6fDpPOh4cPSRJkqRq4r9eWc20BZtISYzj2euGeFmxpH+ruKySZ5Zs5vF3N7C9oBSAjOQERg9py1XDcmiakRJx4bGxq6iUMZMXs3ZHEVn1Epl61QD6ZDeIOkuSvlBJeSWDf/MWhaWVPDGuP6d0bhZ1klSreZG5JEmSVA1Mmb+RaQs2EQTwh0t6O3hIOixpyQmMP6kdc346insv6kXHpukUlVUy8Z31nHT3bO54aRV5e4qjzjyqNu8r4eJHFrB2RxFNMpJ59vrBDh6SqrXUpAQuHZgNwJT5edHGSPpSnvSQJEmSjpK3PtzJtdOXEgvh9jM6c/2IDlEnSaqhYrGQNz/cycQ563kv/wAAcQGc0aMFN4zoQPdWWREXfj3rdhUx+vHF7CgspU3DeswYP4i2jdKizpKkf2vzvhKG/3Y2YQhv3jSCjk3To06Sai1PekiSJEkRWr21gO8//R6xEC4b2IbrhrePOklSDRYXF/DNbs158YahPHvdYEae2IRYCH9+fztn/XEeV05eRO66PVSHNzJ+Vau2FHDxpIXsKCylU9N0nrt+qIOHpBqjTcNUTuvy6WOtpi/Ii7RF0hfzpIckSZL0Ne0oKOWch+axs7CMkzs15olxA0iM9/1Fko6uD7YVMmnuel5duY3YZy/le7XO4oaRHfhm1+Y14kLdRRv2Mn7aUg6WVdKzdRZTrxpIw7SkqLMk6SuZv24PVzy+iLSkeBbccSqZKYlRJ0m1kic9JEmSpAgUl1UyftoSdhaW0alpOg9d0dfBQ9Ix0bVlJvdf2oc5Px3FmCFtSU6IY+WWAibMWM5p981h1pLNlFVWRZ35pd5eu5MxTyzmYFklg9s3ZOY1gxw8JNVIQzs0olPTdIrLq3h+6ZaocyT9PzzpIUmSJB2hqljI9U8u5c0Pd9E4PYmXvjuMNg1To86SVEfsOVjG1Pl5TF+QR2FpJQDNMpO55qT2XDYom/TkhGgD/8krK7Zy86yVVMZCTuvSlAcv70tKYnzUWZJ0xGYs3MTPXl5NTqNU3r55ZI04bSfVNEd60sPRQ5IkSTpCv3x1DVPm55GcEMcz1w2mT3aDqJMk1UEHyyp5elE+j8/bwM7CMgAyUxIYMySHccNyaJyeHGnfzEWf/sVgGMK5vVvy24t6eSJOUo1XUl7JoN+8RVFpJVPGDWBU56ZRJ0m1jo+3kiRJko6j6QvymDI/D4D7Lunt4CEpMunJCVw7vD1zbxnF3Rf0oH3jNApLK3lw9jqG3fU2P39lNZv3lUTS9vA76/iPlz4dPK4c3JbfX9zbwUNSrZCalMAl/dsAMDU3L9oYSf+LJz0kSZKkr2j22l2Mn7aEWAi3nH4i3x3ZMeokSfpcVSzkjQ92MPGd9azcUgBAfFzAWT1bMGFEB7q0OPavu8Mw5O7XP+KROesBuHFUB37yzRMJAh//Iqn2yN9bwoh7ZxOG8NbNI+jQJD3qJKlW8aSHJEmSdBx8sK2Q7z21nFgIl/Rvww0jOkSdJEn/S3xcwOndW/DyjcN46ppBnNypMVWxkFdWbOOM+9/lqimLWbRhL8fqTZBVsZCfvbz688Hjjm935qff6uzgIanWyW6UyqmfPdbqyQWbIq6R9A+e9JAkSZIO087CUs59aD7bC0oZ2qER064e6GNaJNUIq7cWMHHOev66ajuxz/4aoG92fW4Y2ZFTOzc9ahfwVlTFuGnWSl5duY0ggN+c14PLBmYfla8tSdXRvE/2MHryItKS4ll4x6lkpCRGnSTVGl5kLkmSJB1DJeWVXDxpAau3FtKhSRov3jCMrFRf1EqqWfL2FPPouxt4fukWyqtiAHRqms71Izpwdq+WJCUc+ZB7qLyK785cxuyPdpMYH3DfJb05q2fLo5UuSdVSGIZ84765rNt1kF98pyvjhrWLOkmqNRw9JEmSpGOkKhYyYcYy3vhgJ43Sknjpu8PIbpQadZYkHbFdhaU8MT+PmQs3UVRWCUDLrBTGn9yeSwe0IS054St9vaLSCsZPW8rijftISYzjkdH9GHli02ORLknVzpMLN/GfL6+mXeM03rppxFE7PSfVdY4ekiRJ0jHyq9c+4PF5G0lKiOPpawfTr22DqJMk6agoLK1g5sJ8Js/byJ6DZQDUT01k7JAcxg7NoWFa0r/9GnsPljF2ymJWby0kIzmBJ64awICchsc6XZKqjeKySgbf+RZFpZVMvWqAo690lBzXi8yDIGgRBMGcIAh6/9PHMoMgeCEIguIgCBYHQXDCkXxtSZIkqTqZsXATj8/bCMDvLurl4CGpVslMSeSGkR2Yd+sofnNeD9o2SuVASQX3v/UJw+56m1/8aQ1bDxz60s/fXnDo80f/NUpL4unrBjt4SKpz0pITuKhfGwCm5uZFGyPpq48eQRBMArYBw/+fn/otUAx0A1YAD33tOkmSJClCcz7ezX/9aQ0AP/nmCXynl8+ml1Q7pSTGc/mgbN6+eSQPXt6Hbi0zOVRRxdTcPEbcM5ubZq3g451F/+tzNu4p5sKJC1i/u5iWWSnMmjCE7q2yIvo3kKRojRnSliCAdz7azcY9xVHnSHXaV368VRAEjYF0YCPQJwzDFUEQ1OPTIaRTGIZ7giBoBgwIw/C1w/yaPt5KkiRJ1craHYVcOHEBB8squaBva+69qCdB4POZJdUNYRgyb90eJr6zntz1ez//+GldmnLDyA6kJiVw5eTF7DlYRvvGaTx5zSBa1a8XYbEkRe/qqUt4e+0uxg3N4Rdnd4s6R6rxjvudHkEQhPz/o8dg4FlgJvADYDFwaRiGu77kc5OB5H/6UAawxdFDkiRJ1cGuolLOeyiXrQcOMbh9Q6ZfPYikhCN6Mqwk1XgrNx/gkTnreX3NDv7xVwiJ8QEVVSFdWmQy/eqBNMlI/tdfRJLqgLkf72bME4tJT05g4R2nkp6cEHWSVKMd1zs9vkALoAmQBnT/7GN3/otffztQ8E8/thylDkmSJOlrOVRexbXTlrL1wCHaN07jkdH9HDwk1Wm92tRn4uh+vHnTCC7p3+bzwaN/2wY8c91gBw9J+sxJHRvTvkkaB8sqeWGZf90pReVonfQYDUwFMsMwLAmC4FLgd2EYtvqSz/WkhyRJkqqdWCzkuzOX8/qaHTRITeTlG4fRtlFa1FmSVK3sKChl6aZ9nNalGSmJ8VHnSFK1Mn1BHj9/ZQ3tm6Tx5o9HEBfn41GlIxX1SY8CoDQMw5LP/nkv0OjLfnEYhmVhGBb+4wdQ9GW/VpIkSTpe7n59La+v2UFSfByPjunv4CFJX6B5Vgpn9Wzp4CFJX+D8vq1JT05gw+5i3l23J+ocqU46WqPHh0BaEAQtP/vnZsDOo/S1JUmSpGPu6cX5TJq7AYDfXtSTATkNIy6SJElSTZOenMBF/VsDMC03L9oYqY46KqNHGIbrgGXAr4MgaA9MAP58NL62JEmSdKy9+8lufvbyagB+dFonzun9hU9plSRJkv6tMUNyAJj90S7y9hRHGyPVQUfzRsbLgW7A+8AB4D+P4teWJEmSjomPdxbx3RnLqYqFnNenFT88tVPUSZIkSarB2jVOY9SJTQhDmL5gU9Q5Up1zxKNHGIZBGIYr/umfPw7DcGAYhulhGJ4VhuHeo5MoSZIkHRu7i8q4asoSisoqGZjTkLsu6EEQeNmkJEmSvp6xQ3MAeG7pZorLKqONkeqYo3nSQ5IkSaoxSiuquHb6UrYeOEROo1QmXdmP5AQv5ZUkSdLXN7xTE9o3TqOorJIXl2+JOkeqUxw9JEmSVOfEYiE3zVrBis0HqJ+ayBPjBtAgLSnqLEmSJNUScXEBY4a0BWBqbh5hGEZcJNUdjh6SJEmqc37794/4y6odJMYHTBrdj/ZN0qNOkiRJUi1zQb/WpCcnsH53MfPW7Yk6R6ozHD0kSZJUp8xaspmJ76wH4K7zezKofaOIiyRJklQbZaQkcmG/1gBMnZ8XbYxUhzh6SJIkqc6Yv24Pd7y0CoAfnNKRCz57ESpJkiQdC/94xNXbH+1i097iiGukusHRQ5IkSXXCul1FTJixjMpYyNm9WvLjb5wQdZIkSZJqufZN0hlxQhPCEKYv2BR1jlQnOHpIkiSp1ttzsIyrpi6hqLSS/m0bcM+FPQmCIOosSZIk1QHjhuUAMGvpZorLKqONkeoARw9JkiTVaqUVVVw3fSmb9x0iu2Eqk67sR0pifNRZkiRJqiNGdGpCu8ZpFJVW8uJ7W6POkWo9Rw9JkiTVWrFYyE+eW8ny/ANkpiTwxLgBNEpPjjpLkiRJdUhcXPD53R7TcvMIwzDiIql2c/SQJElSrfX7Nz7mtfe3kxAX8MiV/ejYND3qJEmSJNVBF/ZrTVpSPOt2HWT+ur1R50i1mqOHJEmSaqXnlm7mwdnrALjz/B4M7dA44iJJkiTVVRkpiVzYrzUAU3Pzoo2RajlHD0mSJNU6C9bv5Y6XVgFw46gOXNS/TcRFkiRJquvGDM0B4K21O8nfWxJtjFSLOXpIkiSpVlm/+yATZiyjoirkrJ4tuPkbJ0adJEmSJNGhSTrDT2hCGMKTC/OizpFqLUcPSZIk1Rr7isu5euoSCg5V0Ce7Pvde1Iu4uCDqLEmSJAmAcUM/vdD82SWbKSmvjLhGqp0cPSRJklQrlFZUcd30pWzaW0KbhvV4bEx/UhLjo86SJEmSPjfyhKa0bZRKYWklL723NeocqVZy9JAkSVKNF4Yht77wPks37ScjJYEp4wbQOD056ixJkiTpf4mLCxgzJAeAabl5hGEYbZBUCzl6SJIkqca7781PeGXFNhLiAh4Z3Y+OTTOiTpIkSZK+0EX9W5OaFM/HOw+yYP3eqHOkWsfRQ5IkSTXai8u38MBbnwDw6/O6M6xj44iLJEmSpC+XmZLIBX1bAzAlNy/aGKkWcvSQJElSjbVow15ufeF9ACaM6MAlA7IjLpIkSZL+vbGfXWj+1oc72byvJOIaqXZx9JAkSVKNtHFPMdfPWEZFVci3ezTnlm+dGHWSJEmSdFg6Ns3g5E6NiYXw5MJNUedItYqjhyRJkmqc/cXlXDVlMQdKKujVpj6/v7g3cXFB1FmSJEnSYRs3NAeAZxbnU1JeGW2MVIs4ekiSJKlGKaus4vonl5G3t4RW9evx+Jj+pCTGR50lSZIkfSUjT2xKdsNUCksrefm9bVHnSLWGo4ckSZJqjDAMue2FVSzO20dGcgJTrhpAk4zkqLMkSZKkryw+LmDMkE/v9piWm0cYhhEXSbWDo4ckSZJqjAfeWsdL720lPi7g4dF9OaFZRtRJkiRJ0hG7qH8b6iXG89HOIhZs2Bt1jlQrOHpIkiSpRnhlxVbue/NjAP7nnO6c3KlJxEWSJEnS15NVL5EL+rUCPj3tIenrc/SQJElStbckbx8/fe59AK4b3p7LB2VHXCRJkiQdHWOH5ADwxgc72bK/JNoYqRZw9JAkSVK1lrenmOumL6W8Ksa3ujXjttM7R50kSZIkHTWdmmVwUsfGxEJ4cuGmqHOkGs/RQ5IkSdXWgZJyrp66hP0lFfRsncUfLulDXFwQdZYkSZJ0VI0dmgPAM4s3c6i8KtoYqYZz9JAkSVK1VF4ZY8KMZWzYU0zLrBQeH9OfeknxUWdJkiRJR90pnZvSpmE9Cg5V8MqKrVHnSDWao4ckSZKqnTAMuf3FVSzcsI/05ASeuGoATTNTos6SJEmSjon4uIAxg3MAmJqbRxiG0QZJNZijhyRJkqqdh2av44XlW4iPC3jw8j50bp4ZdZIkSZJ0TF3cvw31EuNZu6OIRRv3RZ0j1ViOHpIkSapWXl25jXv//jEAvzi7GyNPbBpxkSRJknTsZaUmcl7fVgBMnZ8XbYxUgzl6SJIkqdpYtmkfNz+3EoDxJ7XjysFtIy6SJEmSjp9xn11o/vcPdrD1wKFoY6QaytFDkiRJ1UL+3hKunb6M8soYp3Vpxh3f7hJ1kiRJknRcndAsg6EdGhEL4ckFm6LOkWokRw9JkiRFrqCkgqumLmZfcTndW2XywGW9iY8Los6SJEmSjrt/nPZ4Zkk+pRVV0cZINZCjhyRJkiJVXhnjhpnLWL+7mBZZKUweO4DUpISosyRJkqRInNqlGa0b1ONASQWvrNgadY5U4zh6SJIkKTJhGPKzl1eRu34vaUnxTB47gGaZKVFnSZIkSZGJjwsYM+TTu+2m5m4iDMOIi6SaxdFDkiRJkZk4Zz2zlm4hLoAHL+9L15aZUSdJkiRJkbu4fxtSEuP4cHshS/L2R50j1SiOHpIkSYrEX1Zt557XPwLgv77TjVGdm0ZcJEmSJFUP9VOTOK9PawCm5m6MuEaqWRw9JEmSdNy9l7+fHz+7Avj0osaxn13WKEmSJOlTY4d++oirv63ZybYDhyKukWoORw9JkiQdV5v3lXDt9KWUVcY4tXNT/vOsrlEnSZIkSdVO5+aZDGnfiKpYyIyFm6LOkWoMRw9JkiQdN4WlFVw9dQl7DpbTtUUmD1zWh/i4IOosSZIkqVr6x4nopxfnU1pRFW2MVEM4ekiSJOm4qKiKcePM5Xyy6yDNMpOZPK4/ackJUWdJkiRJ1dZpXZrSqn499pdU8KeV26LOkWoERw9JkiQdc2EY8vNX1vDuJ3tITYpn8tgBtMiqF3WWJEmSVK0lxMdx5ZBP7/aYlptHGIYRF0nVn6OHJEmSjrnH3t3A04vziQvggUv70L1VVtRJkiRJUo1w6YA2pCTGsWZbIUs37Y86R6r2HD0kSZJ0TL2+egd3/nUtAD87syundW0WcZEkSZJUc9RPTeLc3q0AmJqbF22MVAM4ekiSJOmYWbn5AD969j3CEMYMactVw3KiTpIkSZJqnH9caP766h1sLzgUbYxUzTl6SNLXUFpRxe0vruIXf1rDpr3FUedIUrWy9cAhrpm+lNKKGCNPbMLPz+pKEARRZ0mSJEk1TpcWmQxq15CqWMjMhflR50jVmqOHJB2hWCzk5udW8vTifKbm5jHq3nf43lPLWb21IOo0SYpcUWkFV09Zwu6iMjo3z+DBy/uSEO+3npIkSdKRGvfZaY+nFudTWlEVbYxUjfnKU5KO0O/e+Ig/v7+dxPiAYR0bEQvhtfe3c9Yf53Hl5EXkrt9DGIZRZ0rScVdZFeN7T73HRzuLaJqRzBPjBpCenBB1liRJklSjfaNrM1pmpbCvuJzX3t8edY5UbTl6SNIRmLV0Mw/NXg/Anef3ZOY1g/nLD07mnN4tiQvg3U/2cPljizj34VxeX72DWMzxQ1LdEIYhv3h1DXM+3k29xHgmjx1Ay/r1os6SJEmSaryE+DhGD2kLwNTcjb7RUvoSjh6S9BXlrt/DHS+uAuB7ozpyYb/WAHRtmcn9l/Zhzk9HMWZIW5IT4li5+QATZizjtPvmMGvJZsorY1GmS9IxN3neRmYszCcI4P5Le9OjdVbUSZIkSVKtcemAbJIT4li9tZDl+fujzpGqJUcPSfoK1u06yIQnl1EZCzmrZwtu+sYJ/+fXtGmYyn+f0535t53C90Z1JDMlgQ27i7nlhfcZfs9sHn93AwfLKiOol6Rj6+9rdvDrv3wIwH98uwvf7NY84iJJkiSpdmmYlsQ5vVsCMGV+XrQxUjUVVIdjUEEQZAIFBQUFZGZmRp0jSV9o78Eyzns4l/x9JfTNrs9T1w4mJTH+337ewbJKnl6Uz+PzNrCzsAyAzJQExg7NYdzQHBqlJx/rdEk65lZtKeDiSQs4VFHFFYOy+dW53QmCIOosSZIkqdZZs62AMx+YR0JcwLxbT6F5VkrUSdIxUVhYSFZWFkBWGIaFh/t5nvSQpMNQWlHFdU8uI39fCW0a1uOxMf0Pa/AASE9O4Nrh7Zl7yyjuvqAH7RunUVhayR/fXsewu9/m56+sZvO+kmP8byBJx862A4cYP20JhyqqGH5CE355djcHD0mSJOkY6dYyi4E5DamMhcxctCnqHKnacfSQpH8jDENuef59lm3aT0ZKAlPGDTii0xnJCfFcMiCbN24awSOj+9KrdRalFTGmL9jEyHvf4UfPvMeH2w97tJakauFgWSVXT13CrqIyTmyWwUOX9yEh3m8xJUmSpGNp3LAcAJ5alE9ZZVW0MVI14ytSSfo37nvjY/60chsJcQGTRvejY9OMr/X14uMCTu/egpdvHMZT1wzi5E6NqYqFvLxiG2fc/y5XTVnM4o37qA6PH5Skf6WyKsb3n1rO2h1FNE5PZvK4/mSkJEadJUmSJNV63+zajBZZKewtLue1ldujzpGqFUcPSfoXXli2hQfeXgfAb87rwdCOjY/a1w6CgKEdG/Pk+EG89v2TOLNnC+ICmP3Rbi6etIALH1nAGx/sJBZz/JBUPf3Pax8w+6PdpCTGMXlsf1o3SI06SZIkSaoTEuLjGD24LQBTc/N846T0Txw9JOlLLNywl9tefB+AG0Z24OIBbY7Z79W9VRYPXd6Xt28eyeWDskmKj2PZpv1cO30p3/rDXF5YtoWKqtgx+/0l6auaMn8j0xZsIgjgD5f0pleb+lEnSZIkSXXKZQOzSUqIY9XWApbnH4g6R6o2HD0k6Qts2H2Q659cRkVVyJk9WvDTb554XH7fnMZp/Oa8Hsy7dRQTRnQgIzmBT3Yd5ObnVjLintk8MW8jJeWVx6VFkr7MWx/u5H9e+wCA207vzOndW0RcJEmSJNU9DdOSOKdXSwCm5eZFGyNVI0F1OPoUBEEmUFBQUEBmZmbUOZLquH3F5Zz/8Hzy9pbQu019nrluMCmJ8ZG0FJZWMHNhPpPnbWTPwTIA6qcmMm5oDmOH5NAgLSmSLkl11+qtBVw8aQEl5VVcNrANvzmvB0EQRJ0lSZIk1UmrtxZw1h/nkRAXMP+2U2iWmRJ1knTUFBYWkpWVBZAVhmHh4X6eJz0k6Z+UVVZx/ZNLydtbQusG9XhsTP/IBg+AzJREbhjZgXm3juI35/WgbaNUDpRU8Ic3P2HoXW/zy1fXsPXAocj6JNUtOwpKGT9tCSXlVZzcqTH/fU53Bw9JkiQpQt1bZTEgpwGVsZCZi/KjzpGqBUcPSfpMGIbc9sIqluTtJyM5gSnjBtAkIznqLABSEuO5fFA2b988kgcv70O3lpkcqqhiyvw8Rtwzm5tmreDjnUVRZ0qqxYrLKhk/bQk7C8vo1DSdh67oS2K830pKkiRJURs7NAeApxZtoqyyKtoYqRrwlaokfeb+tz7hpfe2Eh8X8PDovnRqlhF10v8RHxdwVs+WvPb9k3hy/ECGdmhEZSzkxeVb+eZ9c7lm2lKWbdoXdaakWqYqFvLDZ95jzbZCGqcn8cS4AWSmJEadJUmSJAn4VrfmNM9MYc/Bcv6yanvUOVLkHD0kCXj5va384c1PAPjVud05uVOTiIv+tSAIOLlTE566djCv3DiMM7o3JwjgzQ93csHEBVz8yAJmr91Fdbi3SVLN96s/f8CbH+4iOSGOR8f0p03D1KiTJEmSJH0mMT6O0YOzAZg6Py/aGKkacPSQVOct3riPW55/H4Drh7fnsoHZERd9Nb3a1Gfi6H68edMILunfhsT4gMV5+7hq6hLOuP9dXn5vK5VVsagzJdVQ0xfkMeWzF06/v7g3fbMbRNojSZIk6f+6bGA2SQlxrNxSwHv5+6POkSLl6CGpTsvbU8z1Ty6lvCrG6d2ac+vpnaNOOmIdmqRz94U9efeWU7hueHvSkuJZu6OIHz27gpH3vsP0BXkcKvfZnpIO3+y1u/jFn9YA8NNvnciZPVtEXCRJkiTpizRKT+Y7PVsCMDU3L9oYKWJBdXj0SRAEmUBBQUEBmZmZUedIqiMOlJRz/sO5bNhTTK/WWTxz3RDqJcVHnXXUFJRU8OTCT9+hvbe4HICGaUlcNTSHMUNyyEr1efySvtwH2wq56JFcisuruLh/a+6+oCdBEESdJUmSJOlLrNpSwHcenEdifMD8W0+haWZK1EnS11JYWEhWVhZAVhiGhYf7eZ70kFQnlVfGmDBjGRv2FNOqfj0eG9u/Vg0eAFmpiXzvlE7Mv+0U/uecbrRuUI99xeX87o2PGXrXW/zqtQ/YXnAo6F64iQAAIABJREFU6kxJ1dDOwlLGT1tCcXkVQ9o34lfn9nDwkCRJkqq5Hq2z6Ne2ARVVITMX5UedI0XG0UNSnROGIbe/uIqFG/aRnpzAE+MG0DSj9r77ISUxniuH5PDOT0Zy/6W96dw8g+LyKh6ft5Hh98zmludXsm7XwagzJVUTJeWVjJ+2hO0FpXRoksYjo/uRlOC3jJIkSVJNMG5oDgAzF+VTXun9nqqbfAUrqc55aPY6Xli+hfi4gIeu6MuJzTOiTjouEuLjOKd3K/76w5OZctUABrVrSEVVyKylW/jGfXO4/smlrNh8IOpMSRGqioX88JkVrN5aSMO0JKaMG+ij8CRJkqQa5PTuzWmWmcyeg2X8ZdX2qHOkSDh6SKpTXl25jXv//jEAvzy7GyNOaBJx0fEXBAGjTmzKs9cP4YUbhvKNrs0IQ/jbmp2c+9B8Lnt0IXM/3k11uPNJ0vF1518+5I0PdpKUEMdjY/qR3Sg16iRJkiRJX0FifByjB7UFvNBcdZejh6Q6Y9mmfdz83EoArjmpHaMHt424KHr92jbgsTH9eePHw7mwX2sS4gIWbNjLmCcWc9Yf5/Hqym1UVnkcVqoLZizcxOPzNgJw70W96Ne2YcRFkiRJko7EZYOySYqPY8XmAz7RQXWSo4ekOiF/bwnXTl9GeWWMb3Rtxu3f7hJ1UrXSqVkG917Ui7m3jOLqYe1ITYpnzbZCvv/0e5z6+znMWLiJ0oqqqDMlHSNzPt7Nf/1pDQA3f+MEzu7VMuIiSZIkSUeqcXoyZ/VqAcA0T3uoDgqqw+NLgiDIBAoKCgrIzMyMOkdSLVNQUsH5E+ezfncxPVpl8ez1g0lNSog6q1rbX1zO9AWbmJq7kf0lFcCn3zRdfVIOowe3JTPFZ/xLtcXaHYVcOHEBB8squaBva+69qCdBEESdJUmSJOlreH/LAc5+cD6J8QHzbzuFphkpUSdJX1lhYSFZWVkAWWEYFh7u53nSQ1KtVl4Z44aZy1i/u5gWWSk8Pra/g8dhaJCWxA9P68T8207hF9/pSqv69dhzsIx7Xv+IoXe+zZ1//ZBdhaVRZ0r6mnYVlTJ+6lIOllUyqF1D7jy/h4OHJEmSVAv0bF2fvtn1qagKeXrR5qhzpOPK0UNSrRWGIT97eRW56/eSlhTPE+MG0CzTdzZ8FalJCYwb1o53fjqS31/cixOapXOwrJJJczZw0t2zuf3FVWzcUxx1pqQjcKi8imunLWXrgUO0b5zGpCv7kZTgt4aSJElSbTF2aA4AMxZtorzS+zpVd/jKVlKtNXHOemYt3UJcAA9e3pcuLXx83pFKjI/j/L6tef2Hw5k8tj/92zagvCrG04vzOeV373DjzOWs2lIQdaakwxSLhfz42RWs3FJAg9REnhg3gPqpSVFnSZIkSTqKzujegqYZyewuKuOvq7dHnSMdN44ekmqlP7+/nXte/wiAX5zdjVGdm0ZcVDvExQWc2qUZz98wlOcmDOHUzk0JQ/jzqu1858F5jH58EfPX7aE63Bcl6cvd/fpaXl+zg6T4OB4d05+cxmlRJ0mSJEk6ypIS4rhiUFsApnqhueoQRw9Jtc7y/P3cNGsFAFcNy2HMkJxog2qpATkNmTxuAK//6GTO69OK+LiAeev2cMXjizjnofn8ddV2qmKOH1J18/TifCbN3QDAPRf2ZEBOw4iLJEmSJB0rlw/KJjE+4L38A6zcfCDqHOm4cPSQVKts3lfCddOXUlYZ47QuTfnZmV2jTqr1OjfP5L5LevPOT0YybmgOKYlxvL+lgBtmLue038/hmcX5lFVWRZ0pCXj3k9387OXVAPzotE6c26dVxEWSJEmSjqUmGcmc1bMlANM87aE6IqgOjyAJgiATKCgoKCAz02fuSzoyBYcquHBiLp/sOki3lpnMun4IackJUWfVOXsPljEtN49pCzZRcKgCgKYZyYw/qR2XD8omIyUx4kKpbvp4ZxEXPJxLUVkl5/Vpxe8v7kUQBFFnSZIkSTrGVm4+wDkPzScpPo75t51Ck4zkqJOkw1JYWEhWVhZAVhiGhYf7eZ70kFQrVFTFuHHmcj7ZdZDmmSlMHjvAwSMijdKTuembJ5J72yn87MwuNM9MYVdRGXf+dS1D73qb3/5tLbuLyqLOlOqU3UVlXDVlCUVllQzMachdF/Rw8JAkSZLqiF5t6tO7TX3Kq2I8vTg/6hzpmHP0kFTjhWHIz19Zzbx1e0hNimfyuP40z0qJOqvOS0tO4JqT2zP3llH89sKedGiSRlFpJQ/NXs+wu9/mZy+vIn9vSdSZUq1XWlHFtdOXsvXAIXIapTLpyn4kJ8RHnSVJkiTpOLpqWA4AMxZuoqIqFm2MdIw5ekiq8R6du4GnF28mLoA/XtaHbi2zok7SP0lKiOOi/m1448cjmHRlv0/fXVIZY8bCfEbeO5vvP/0ea7YVRJ0p1UqxWMhNs1awYvMB6qcm8sS4ATRIS4o6S5IkSdJxdkb3FjTJSGZXURl/Xb0j6hzpmHL0kFSjvb56O3e9vhaA/zyrK6d2aRZxkb5MXFzAt7o156XvDuWZ6wYz4oQmxEJ4deU2znxgHmOfWMzCDXupDndNSbXFb//+EX9ZtYPE+IBJo/vRvkl61EmSJEmSIpCUEMcVg7IBLzRX7efoIanGWrn5AD96dgVhCGOHtOWqYe2iTtJhCIKAwe0bMe3qgfz5Bydxdq+WxAUw5+PdXProQs57OJe/rdlBLOb4IX0ds5ZsZuI76wG46/yeDGrfKOIiSZIkSVG6fFA2ifEByzbtZ9UWn7ig2svRQ1KNtGV/CeOnLaW0IsaoE5vwn2d1jTpJR6BbyyweuKwP7/xkFKMHZ5OUEMeKzQe4/sllfOO+OcxaupnySp81Kn1V89ft4Y6XVgHwg1M6ckG/1hEXSZIkSYpa04wUzuzRAoCpnvZQLRZUh8eIBEGQCRQUFBSQmZkZdY6kaq6wtIKLJi7go51FdG6ewfM3DCU9OSHqLB0Fu4vKmJq7kekLNlFUWglAi6wUxp/UjssGZpPmf2fp31q3q4jzHs6lqLSSs3u15P5LexMEQdRZkiRJkqqB9/L3c97DuSTFx5F7+yk0Tk+OOkn6UoWFhWRlZQFkhWFYeLif50kPSTVKZVWM7z31Hh/tLKJpRjJPjBvg4FGLNMlI5qff6kzubadw+xmdaZqRzPaCUn715w8Zetfb/P7vH7H3YFnUmVK1tedgGVdNXUJRaSX92zbgngt7OnhIkiRJ+lyf7Ab0alOf8qoYzyzOjzpHOiYcPSTVGGEY8l9/WsPcj3dTLzGeyWMH0LJ+vaizdAxkpCRy/YgOvHvrKO46vwftGqdRcKiCB95ex7C73+YXf1rDlv0lUWdK1UppRRXXTV/K5n2HyG6YyqQr+5GSGB91liRJkqRqZtzQtgA8uXATFVU+Ulq1j6OHpBpj8ryNzFyUTxDA/Zf2pkfrrKiTdIwlJ8Rz6cBs3rxpBBOv6EuPVlmUVsSYmpvHiN++w4+fXcHaHYd9ulGqtWKxkJ88t5Ll+QfITEngiXEDaOQxdUmSJElf4Ns9WtA4PZmdhWX8bc2OqHOko87RQ1KN8Lc1O/j1Xz4E4D++3YVvdmsecZGOp/i4gDN6tOBP3xvGzGsGcVLHxlTFQl56byun/+Fdrp66hCV5+6LOlCLz+zc+5rX3t5MQF/DIlf3o2DQ96iRJkiRJ1VRyQjyXD8oGYOr8vGhjpGPA0UNStbdqSwE/emYFYQhXDMpm/Entok5SRIIgYFjHxsy4ZhCvfu8kzuzRgiCAt9fu4qJHFnDhxFze+nAnsVgYdap03Dy3dDMPzl4HwJ3n92Boh8YRF0mSJEmq7kYPyiYhLmDppv2s3loQdY50VDl6SKrWth04xPhpSzhUUcXwE5rwy7O7eSmvAOjROouHrujL2zeP5LKB2STFx7F0037GT1vK6ffP5cXlW3w2qWq9Bev3csdLqwC4cVQHLurfJuIiSZIkSTVB08wUvt2jBQBTc/OijZGOsiAMo383bBAEmUBBQUEBmZmZUedIqiYOllVy4cRc1u4o4sRmGTx/wxAyUhKjzlI1tauwlMnzNzJzYT4HyyoBaFW/Htec3I5LBrQhNSkh4kLp6Fq/+yDnP5xLwaEKzurZggcu7UNcnKOwJEmSpMOzPH8/5z+cS1JCHAtuO8V7AVXtFBYWkpWVBZAVhuFhX+rqSQ9J1VJlVYzvPbWctTuKaJyezORx/R089C81zUzh9jO6MP+2U7jl9BNpnJ7M1gOH+OWrHzDsrre5/81P2F9cHnWmdFTsKy7n6qlLKDhUQZ/s+tx7US8HD0mSJElfSZ829enZOovyyhjPLNkcdY501Dh6SKp2wjDkv1/7gHc+2k1KYhyTx/andYPUqLNUQ2TVS+S7Izsy79ZR/Pq87mQ3TGV/SQX3vfkxw+5+m/9+9QO2HTgUdaZ0xEorqrhu+lI27S2hTcN6PDamPymJ8VFnSZIkSaphgiBg3NAcAGYs3OQjolVrHNHoEQRBiyAI5gRB0PsLfm5MEARhEAQ5XzdOUt00ZX4e0xdsIgjgD5f0pleb+lEnqQZKSYznikFtefvmEfzxsj50bZFJSXkVT8zfyPB7ZvOT51aybldR1JnSVxKGIbe+8D5LN+0nIyWBKeMG0Ngj6JIkSZKO0Jk9W9A4PYntBaX8fc3OqHOko+Irjx5BEEwCtgHDv+Dn6gO/PQpdkuqoNz/Yyf/8+QMAbju9M6d3bxFxkWq6hPg4vtOrJX/+wUlMv3ogQ9o3ojIW8vyyLZz2+7lcO30py/P3R50pHZb73vyEV1ZsIyEu4JHR/ejYNCPqJEmSJEk1WHJCPJcPzAZgmheaq5Y4kpMe/wG0+5Kf+w2Qe+Q5kuqy1VsL+MEz7xGGcNnANlw3vH3USapFgiBg+AlNePq6wbz03aF8q1szggDe+GAn5z+cyyWTFjD7o12EYRh1qvSFXly+hQfe+gSAX5/XnWEdG0dcJEmSJKk2uGJwWxLiAhbn7WPNtoKoc6Sv7SuPHmEY7gnDMO///XgQBP2Ai4BbjkKXpDpme8Ehxk9bQkl5FSd3asx/n9OdIPBSXh0bfbIbMOnK/rzx4xFc3L81ifEBizbu46opS/j2A/N4ZcVWKn2WqaqRRRv2cusL7wMwYUQHLhmQHXGRJEmSpNqiWWYKZ/T49EkbnvZQbXBULjIPgiAOmAj8DNh9GL8+OQiCzH/8AHw2g1SHFZdVMn7qUnYWltGpaToPXdGXxPij8seT9C91bJrOPRf2Yu4to7j25HakJsXz4fZCfvjMCkb97h2eXJBHaUVV1Jmq4zbuKeb6GcuoqAr5do/m3PKtE6NOkiRJklTLjBvaFoCXV2xjX3F5xDXS13O0/lbxeiAEHjvMX387UPBPP7YcpQ5JNUxVLOQHT/9/7N13dNX14f/x1+fe3OxFCAkrg43skbCnOFprVVwgCgRorVZrtbZW7bJf2zrqaP06cAABFVHqrLMqQyWMsPcmEwiEkD3vvZ/fH6I/+61VwCTvO56Pc3JOTSE87UlOD/d135/3Ju08UqnE6FDNz8pUbLjLdBaCTIe4CP3mB32Uc+e5uv38nkqIClVhWZ1+9+YOjb5/mR5ftk8VtU2mMxGETtY0ataCdSqvbdLAlHg9cvUgORycggMAAADQvIaktlG/TrFqdHu1JLfAdA7wnVhn++xyy7JsSYNt295sWdZySSMkNUiyJMVKqpJ0kW3bn33N7w2TFPaVT8VIKqqoqFBsbOxZ9QDwT/e8tUPZOXkKC3FoyfUjNDi1jekkQHWNHi3dUKinVx5UcXmdJCkq1KlrR6RpzpguSo4NN1yIYNDg9mj6c+u0Lq9MneIj9MZNo9UuJuzbfyMAAAAAnIV/bCjSL5duUce4cH1yx0SF8BQOGFZZWam4uDhJirNtu/J0f19zjR7tJX3xClCspC2Sxkpab9t2/Wl8rVhJFYweQHBZmJOnP7y1Q5L05LVDdNGp50cCvqLJ49U7W49o7soD2n20SpIU6nRo8uBOun58V3VrF224EIHKtm3d/soWvbapWDFhIXr1p6PUM5mngQIAAABoOfVNHo26f5nKahr11LVDvrznAzDlbEePZpnrbNs+att23qkLzr84/1R0OoMHgOC0bHeJ/vjPzwePO77Xi8EDPsnldOiywZ303s/HakFWpoalJ6jR49XL6wt13iMrdeMLG7SlsNx0JgLQ/y7br9c2FcvpsPTkdUMYPAAAAAC0uHCXU9OGpUqSFnChOfwYZ5QAtLqdhyv1s8Wb5LWlKRkpunF8N9NJwDeyLEsTeyfplRtG6tUbR+q8c5Jl29J724/q0idWadqza/TpvuM629OTwFe9ublYj3y4V5J076X9NLZHO8NFAAAAAILFtSNS5XRYWneoTDsPn/Yb6wGfctajh23blm3bm7/m8+Wn/ru871QGICCVVNZrzsJc1TR6NKpbW/1pcj9ZFpfywn8MTUvQczMz9K/bxunyIZ0U4rCUc+CEps9bp4v/9zO9vfWwPF7GD5yd9Xll+tXSrZKk68d11bThqYaLAAAAAASTDnER+l6/9pI+fyw54I/O+k6PZo3gTg8gKNQ2unX106u1vbhS3dpF6bUbRysu0mU6C/hOisvr9NynB7VkXaHqmjySpPS2kfrxuK66YkhnhbuchgvhL/JP1Gjykzkqq2nUhX2T9dS1Q+VwMAoDAAAAaF25eWW6au5qhYU4tOauSWoTFWo6CUHK6J0eAPBtPF5bt7y0WduLK9U2KlQLsoYxeCAgdIqP0B9+2Fc5d56rW8/rofhIl/JO1Oo3r2/XmAeW66kVB1RZ32Q6Ez6uorZJs7JzVVbTqAGd4/S3KYMZPAAAAAAYkZHWRn07xqrB7dWS3ELTOcAZY/QA0Cr+8u4ufbSrRKEhDj0zI0OpbSNNJwHNqk1UqG49r6dy7jxXv7+4jzrGhau0ukEPvL9bo+9bpvvf261jVfWmM+GDGt1e/eSF9Tp4vEYd48L13IwMRYRyQggAAACAGZZlaeaodEnSC2vy5fZ4zQYBZ4jRA0CLe35NvuZ9dkiS9PBVAzU0rY3hIqDlRIaGaPaYLlp5x0Q9fNVA9UiKVlWDW3NXHtCYB5br7te3Ka+0xnQmfIRt27r79W1ac7BM0WEhmj8rU0mx4aazAAAAAAS5SwZ2VEJUqIrL6/TRrhLTOcAZYfQA0KJW7Dmme97aIUn65QU99cOBHQ0XAa3D5XToiqGd9cGt4/TsjAwNSY1Xo9urxWsLdO7DK3TT4o3aXlxhOhOGPbnigP6xoUhOh6XHpw1W7/bcbQYAAADAvHCXU1MzUyRJ2VxoDj/DReYAWszuo5W68qnVqm5w64ohnfXQVQNkWTyjHsHJtm3l5p3UUyv2a/me419+fmyPRN04vptGdmvLz0eQ+eeWw/rZS5skSfde1k/TR6QZLgIAAACA/+9weZ3GPrhcHq+t934+Vud04HVbtC4uMgfgU45V1mv2glxVN7g1omuC7ru8Py/oIqhZlqVhXRK0YNYwvffzsbpsUEc5HZY+3Veqac+t1WVPrNL724/I6zX/ZgS0vA35J3X70i2SpDljujB4AAAAAPA5HeMjdGHfZEnSotV5RluAM8FJDwDNrrbRranPrNHWogp1TYzSaz8dpfjIUNNZgM8pLKvVc58e1JLcQjW4P78Yrmu7KP1kXFddNriTwkK4zDoQFZyo1eQnV+lETaPOOydZT08fKqeDURgAAACA71l3qExXP71a4S6H1tw1idd30Ko46QHAJ3i9tm57ebO2FlWoTaRLC2Zl8n+IwH+RkhCpP17aT6vuPFc/O7e7YsNDdPB4jX796jaNe3C5nv3koKob3KYz0Ywq6po0K3udTtQ0ql+nWD12zSAGDwAAAAA+KzO9jc7pEKv6Jq9ezi00nQOcFkYPAM3q/vd364MdJQp1OvTMjAyltY0ynQT4vMToMN1+QS/l3DVJv/3BOUqODVNJZYP+/O4ujbrvYz30wR6VVjeYzsR31OTx6qcvbtCB4zXqEBeueTMzFRkaYjoLAAAAAP4ry7I0a1S6JGnR6nx5eCQz/ACjB4Bms3htgZ755KAk6a9XDVBmeoLhIsC/RIeF6Edju+qTOybqwSsGqGu7KFXWu/X48v0aff8y/f7N7SosqzWdibNg27Z++/p2rdp/QlGhTs2bmank2HDTWQAAAADwrS4Z1FFtIl0qLq/TR7tKTOcA34rRA0Cz+GTvcf3uze2SpNvO66lLB3UyXAT4r7AQp67OTNFHt43X3OuGamBKvBrcXi1ana8JD63Qz5ds0q4jp/0oS/iAuSsP6uX1hXJY0uPThqhPR+4wAwAAAOAfwl1OTR2WKknKXpVnNgY4DVxkDuA723O0Slc+laOqBrcuH9xJD189UJbFM+qB5mLbtlYfPKG5Kw/qk73Hv/z8hF7tdOP4bhrWJYGfOR/27rYj+umLGyVJf7ykr2aeOhoOAAAAAP6iuLxOYx9YJq8tfXDrOPVqH2M6CUGAi8wBGHG8qkGzs3NV1eDWsC4Juu+K/rz4CjQzy7I0qluiFs0eprd/NkYXD+gghyWt2HNcU55ZoyueytG/dhyVl2er+pxNBSd128ubJUlZo9IZPAAAAAD4pU7xEbqwb3tJUnZOntkY4Ftw0gPAWatr9Gjqs2u0pbBcXRKj9NqNo9QmKtR0FhAU8k/U6JlPDmrphiI1ur2SpO5J0bphfDddMrCjQkN4X4NphWW1mvzkKpVWN2pS7yQ9MyNDTgejMAAAAAD/tObgCU19Zo3CXQ6tves8xUW6TCchwHHSA0Cr8npt/eKVzdpSWK74SJfmZ2UyeACtKK1tlP48ub8++/VE3Tihm2LCQrT/WLV+uXSLJvx1ueZ9dkg1DW7TmUGrsr5Js7NzVVrdqD4dYvXYNYMZPAAAAAD4teFdEtS7fYzqm7x6eX2B6Rzgv2L0AHBWHvxgj97bflQup6WnrxuqLolRppOAoJQUE65ff6+3Vt11ru78fm+1iwnT4Yp63fv2To1+YJke/XCvymoaTWcGlSaPVze9uFH7jlUrOTZM87IyFBUWYjoLAAAAAL4Ty7KUdeqRvYtW58vDI5bhoxg9AJyxJesKNHflAUnSg1cO0PCubQ0XAYgNd+mG8d306R0T9ZfJ/ZXeNlLltU36+8f7NPr+ZbrnrR0qOllrOjPg2bat37+5Q5/uK1VkqFPzZmaqQ1yE6SwAAAAAaBaXDuqk+EiXik7WadnuY6ZzgK/F6AHgjKzaX6rfvrFdknTLpB6aPLiz4SIAXxXucmra8FR9fPsEPTFtiPp1ilVdk0fZOXma8NcV+sXLm7XnaJXpzID17KcH9dK6Ajks6bGpg9WvU5zpJAAAAABoNhGhTk3JTJEkZeccMlwDfD0uMgdw2vaVVOnyp3JUVe/WpYM66m9TBsmyeEY94Mts29aq/Sf01Mr9WrX/xJefP++cJN0wvpsy0hMM1gWW97cf1Y0vbpBtS7+/uI9mj+liOgkAAAAAml3RyVqNe3C5vLb04W3j1CM5xnQSAhQXmQNoUaXVDZqVnauqercy0trogSsGMHgAfsCyLI3pkagXfzRCb908Whf1by/Lkj7adUxXzl2tq+bmaNnuEvnCmyD82ZbCct368ibZtjRjZJpmjU43nQQAAAAALaJzm0id3ydZkpSdk2c2BvganPQA8K3qmzy65tk12lRQrrS2kXr9p6OVEBVqOgvAWTp4vFrPfHJQr20sVqPHK0nq3T5GPxnfVRcP6CiXk/dEnIni8jpd9sQqHa9q0IRe7fTcjAyF8L8hAAAAgAC2+sAJXfPsGkW4nFpz9yTFRbhMJyEAcdIDQIvwem3dvnSLNhWUKy7CpflZmQwegJ/r2i5a918xQJ/+eqJ+Mq6rokKd2n20Sre9vEUT/rpCC3PyVNfoMZ3pF6rqmzR7Qa6OVzWod/sYPT5tCIMHAAAAgIA3omuCeiXHqK7Jo6XrC03nAP+Gv5UD+EYPf7hH72w9IpfT0tzrhqpbu2jTSQCaSXJsuO666Bzl3DlJv7qwlxKjQ1VcXqc/vLVDox9Ypsc+3qfy2kbTmT7L7fHq5sWbtKekSu1iwjQ/K1PRYSGmswAAAACgxVmWpaxTj/VdtDpfHq/5pwkBX2D0APBfvbK+UE8sPyBJuu/yARrZra3hIgAtIS7SpZsmdtdnvz5X917WTykJESqradQjH+7VqPuX6U9v79SRijrTmT7Ftm3d888dWrn3uMJdDs2bmaGO8RGmswAAAACg1Vw2qJPiIlwqKKvV8t3HTOcAX2L0APC1cg6U6u7XtkmSbp7YXVcO7Wy4CEBLC3c5NX1EmpbfPkGPXTNY53SIVW2jR899dkjjHlyuXy3dov3Hqkxn+oR5nx3SC2sKZFnS36cO1oDO8aaTAAAAAKBVRYQ6NTUzRZK0cHWe0Rbgq7jIHMB/2H+sWpc/uUqV9W5dPKCDHps6WA6HZToLQCuzbVsr9x7X3JUHtOZg2Zefv6BPsm6c0E2DU9sYrDPnXzuO6icvbJBtS7+56Bz9eFxX00kAAAAAYERhWa3G/3W5vLb00S/GqXtSjOkkBBAuMgfQLE5UN2h2dq4q690akhqvh64ayOABBCnLsjShV5KWXD9Sr/10lC7okyxJ+tfOEk1+MkdTn1mtlXuPyxfeQNFathVV6OdLNsu2pWnDU/WjsV1MJwEAAACAMSkJkTrvnM//rrgwJ99wDfA5TnoA+FJ9k0fXPrdWG/JPKiUhQm/8dLTaRoeZzgLgQ/Yfq9LTKw/q9U3Fcp+6qK5Ph1jdMKGbLurXXiHOwH0/xeHyOl32xCodq2rQ2B6Jmp+VKVcA//sCAAAAwOnI2V+qac+tVWSoU2vunqTYcJfpJAQITnoA+E5s29Yd/9iqDfknFRMeogVZmQweAP5D96QY/fWqgfrkjomaM6aLIkOd2nmkUre8tEnhPS2PAAAgAElEQVTnPrxSL6zJV32Tx3Rms6tucGt2dq6OVTWoZ3K0nrh2CIMHAAAAAEga2a2teiZHq7bRo6Xri0znAIweAD736Id79daWwwpxWHr6uqE8gxHAN+oYH6HfXdxHOXeeq1+c31NtIl0qKKvVb9/YrjEPLNMTy/eroq7JdGazcHu8+tnijdp9tEqJ0WGan5XJO5cAAAAA4BTLsjRzVLokadHqPHm95p8shODG6AFAr24o0mPL9kuS/jK5v0Z1TzRcBMBfxEeG6pZJPbTqznN1zw/7qFN8hEqrG/XXD/Zo9P3LdN+7u1RSWW868zu59+2dWr7nuMJdDj03M0Od20SaTgIAAAAAnzJ5cCfFhoco/0StVuw9ZjoHQY7RAwhyaw6e0J2vbZUk3Tihm67OTDFcBMAfRYaGKGt0F6341QQ9OmWgeiXHqLrBrac/OaixDyzXXa9t1aHSGtOZZ2zBqkNauPrzy/gevXqQBqXEGy4CAAAAAN8TGRqiKadeU1qwKs9sDIIeF5kDQezg8WpNfjJHFXVN+kH/DvrfawbL4bBMZwEIALZta/meY3pqxQHl5p2UJFmW9P1+7XXD+G4a0Nn3x4OPd5Xox4vWy2tLd36/t24Y3810EgAAAAD4rMKyWo3763LZtvTRL8are1K06ST4OS4yB3BGymoaNTs7VxV1TRqUEq+Hrx7I4AGg2ViWpXN7J2vpDaO09IaRmtQ7SbYtvbvtqC55fJWufW6NPttXKl9488XX2V5coZ+9tEleW5qamaKfjOtqOgkAAAAAfFpKQqQm9U6W9PndHoApnPQAglCD26Ppz63TurwydYqP0Bs3jVa7mDDTWQAC3J6jVXp65QG9ueWwPKcutuvfKU43TuimC/u2l9NHhtejFfW69InPVFLZoDHdE7VgVqZcTt4nAgAAAADfZtX+Ul373FpFhTq1+u5Jig13mU6CH+OkB4DTYtu27nx1m9bllSkmLEQLZmUyeABoFb3ax+iRKYO08lcTlDUqXeEuh7YVV+inL27UeY+s1EvrCtTg9hhtrGlwa87CXJVUNqh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      "text/plain": [
       "<Figure size 2000x800 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 1.创建画布\n",
    "plt.figure(figsize=(20,8), dpi=100)\n",
    "\n",
    "# 2.绘制图像\n",
    "plt.plot([1, 2, 3, 4, 5, 6, 7], [10, 15, 13, 18, 16, 20, 10])\n",
    "\n",
    "# 3.图像显示\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.5"
  },
  "toc": {
   "base_numbering": 1,
   "nav_menu": {},
   "number_sections": true,
   "sideBar": true,
   "skip_h1_title": false,
   "title_cell": "Table of Contents",
   "title_sidebar": "Contents",
   "toc_cell": false,
   "toc_position": {},
   "toc_section_display": true,
   "toc_window_display": false
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
